सिद्ध कीजिए कि (cosecA – sin A)(sec A – cos A) = 1/(tan A + cot A)
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Step-by-step explanation:
LHS
(cosecA-sinA)(secA-cosA)
=(1-sin²A/sinA)(1-cos²A/cosA)
=cos²A/sinA.sin²A/cosA
=sinAcosA
RHS
1/tanA+cotA
=1/{(sinA/cosA)+(cosA/sinA)}
=1/(sin²A+cos²A/sinAcosA)
=1/(1/sinAcosA)
=sinAcosA
LHS=RHS
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